-------
(10, 448, 5) ALL distance distributions for EXTERNAL point
(5, 448, 5) has 0 possible DDs: {}
(6, 448, 5) has 1 possible DDs: {[0, 84, 0, 280, 0, 84, 0]}
(7, 448, 5) has 8 possible DDs: {[0, 42, 42, 140, 140, 42, 42, 0], [0, 43, 36, 155, 120, 57, 36, 1], [0, 44, 30, 170, 100, 72, 30, 2], [0, 45, 24, 185, 80, 87, 24, 3], [0, 46, 18, 200, 60, 102, 18, 4], [0, 47, 12, 215, 40, 117, 12, 5], [0, 48, 6, 230, 20, 132, 6, 6], [0, 49, 0, 245, 0, 147, 0, 7]}
(8, 448, 5) has 52 possible DDs: {[0, 15, 78, 1, 260, 1, 78, 15, 0], [0, 16, 72, 16, 240, 16, 72, 16, 0], [0, 17, 66, 31, 220, 31, 66, 17, 0], [0, 17, 67, 25, 235, 11, 81, 11, 1], [0, 18, 60, 46, 200, 46, 60, 18, 0], [0, 18, 61, 40, 215, 26, 75, 12, 1], [0, 18, 62, 34, 230, 6, 90, 6, 2], [0, 19, 54, 61, 180, 61, 54, 19, 0], [0, 19, 55, 55, 195, 41, 69, 13, 1], [0, 19, 56, 49, 210, 21, 84, 7, 2], [0, 19, 57, 43, 225, 1, 99, 1, 3], [0, 20, 48, 76, 160, 76, 48, 20, 0], [0, 20, 49, 70, 175, 56, 63, 14, 1], [0, 20, 50, 64, 190, 36, 78, 8, 2], [0, 20, 51, 58, 205, 16, 93, 2, 3], [0, 21, 42, 91, 140, 91, 42, 21, 0], [0, 21, 43, 85, 155, 71, 57, 15, 1], [0, 21, 44, 79, 170, 51, 72, 9, 2], [0, 21, 45, 73, 185, 31, 87, 3, 3], [0, 22, 36, 106, 120, 106, 36, 22, 0], [0, 22, 37, 100, 135, 86, 51, 16, 1], [0, 22, 38, 94, 150, 66, 66, 10, 2], [0, 22, 39, 88, 165, 46, 81, 4, 3], [0, 23, 30, 121, 100, 121, 30, 23, 0], [0, 23, 31, 115, 115, 101, 45, 17, 1], [0, 23, 32, 109, 130, 81, 60, 11, 2], [0, 23, 33, 103, 145, 61, 75, 5, 3], [0, 24, 24, 136, 80, 136, 24, 24, 0], [0, 24, 25, 130, 95, 116, 39, 18, 1], [0, 24, 26, 124, 110, 96, 54, 12, 2], [0, 24, 27, 118, 125, 76, 69, 6, 3], [0, 24, 28, 112, 140, 56, 84, 0, 4], [0, 25, 18, 151, 60, 151, 18, 25, 0], [0, 25, 19, 145, 75, 131, 33, 19, 1], [0, 25, 20, 139, 90, 111, 48, 13, 2], [0, 25, 21, 133, 105, 91, 63, 7, 3], [0, 25, 22, 127, 120, 71, 78, 1, 4], [0, 26, 12, 166, 40, 166, 12, 26, 0], [0, 26, 13, 160, 55, 146, 27, 20, 1], [0, 26, 14, 154, 70, 126, 42, 14, 2], [0, 26, 15, 148, 85, 106, 57, 8, 3], [0, 26, 16, 142, 100, 86, 72, 2, 4], [0, 27, 6, 181, 20, 181, 6, 27, 0], [0, 27, 7, 175, 35, 161, 21, 21, 1], [0, 27, 8, 169, 50, 141, 36, 15, 2], [0, 27, 9, 163, 65, 121, 51, 9, 3], [0, 27, 10, 157, 80, 101, 66, 3, 4], [0, 28, 0, 196, 0, 196, 0, 28, 0], [0, 28, 1, 190, 15, 176, 15, 22, 1], [0, 28, 2, 184, 30, 156, 30, 16, 2], [0, 28, 3, 178, 45, 136, 45, 10, 3], [0, 28, 4, 172, 60, 116, 60, 4, 4]}
(9, 448, 5) has 304 possible DDs: {[0, 4, 64, 8, 148, 148, 8, 64, 4, 0], [0, 4, 65, 2, 163, 128, 23, 58, 5, 0], [0, 5, 58, 23, 128, 163, 2, 65, 4, 0], [0, 5, 59, 17, 143, 143, 17, 59, 5, 0], [0, 5, 60, 11, 158, 123, 32, 53, 6, 0], [0, 5, 60, 12, 152, 138, 12, 68, 0, 1], [0, 5, 61, 5, 173, 103, 47, 47, 7, 0], [0, 5, 61, 6, 167, 118, 27, 62, 1, 1], [0, 5, 62, 0, 182, 98, 42, 56, 2, 1], [0, 6, 53, 32, 123, 158, 11, 60, 5, 0], [0, 6, 54, 26, 138, 138, 26, 54, 6, 0], [0, 6, 54, 27, 132, 153, 6, 69, 0, 1], [0, 6, 55, 20, 153, 118, 41, 48, 7, 0], [0, 6, 55, 21, 147, 133, 21, 63, 1, 1], [0, 6, 56, 14, 168, 98, 56, 42, 8, 0], [0, 6, 56, 15, 162, 113, 36, 57, 2, 1], [0, 6, 57, 8, 183, 78, 71, 36, 9, 0], [0, 6, 57, 9, 177, 93, 51, 51, 3, 1], [0, 6, 58, 2, 198, 58, 86, 30, 10, 0], [0, 6, 58, 3, 192, 73, 66, 45, 4, 1], [0, 7, 47, 47, 103, 173, 5, 61, 5, 0], [0, 7, 48, 41, 118, 153, 20, 55, 6, 0], [0, 7, 48, 42, 112, 168, 0, 70, 0, 1], [0, 7, 49, 35, 133, 133, 35, 49, 7, 0], [0, 7, 49, 36, 127, 148, 15, 64, 1, 1], [0, 7, 50, 29, 148, 113, 50, 43, 8, 0], [0, 7, 50, 30, 142, 128, 30, 58, 2, 1], [0, 7, 51, 23, 163, 93, 65, 37, 9, 0], [0, 7, 51, 24, 157, 108, 45, 52, 3, 1], [0, 7, 52, 17, 178, 73, 80, 31, 10, 0], [0, 7, 52, 18, 172, 88, 60, 46, 4, 1], [0, 7, 53, 11, 193, 53, 95, 25, 11, 0], [0, 7, 53, 12, 187, 68, 75, 40, 5, 1], [0, 7, 54, 5, 208, 33, 110, 19, 12, 0], [0, 7, 54, 6, 202, 48, 90, 34, 6, 1], [0, 7, 54, 7, 196, 63, 70, 49, 0, 2], [0, 7, 55, 0, 217, 28, 105, 28, 7, 1], [0, 7, 55, 1, 211, 43, 85, 43, 1, 2], [0, 8, 42, 56, 98, 168, 14, 56, 6, 0], [0, 8, 43, 50, 113, 148, 29, 50, 7, 0], [0, 8, 43, 51, 107, 163, 9, 65, 1, 1], [0, 8, 44, 44, 128, 128, 44, 44, 8, 0], [0, 8, 44, 45, 122, 143, 24, 59, 2, 1], [0, 8, 45, 38, 143, 108, 59, 38, 9, 0], [0, 8, 45, 39, 137, 123, 39, 53, 3, 1], [0, 8, 46, 32, 158, 88, 74, 32, 10, 0], [0, 8, 46, 33, 152, 103, 54, 47, 4, 1], [0, 8, 47, 26, 173, 68, 89, 26, 11, 0], [0, 8, 47, 27, 167, 83, 69, 41, 5, 1], [0, 8, 48, 20, 188, 48, 104, 20, 12, 0], [0, 8, 48, 21, 182, 63, 84, 35, 6, 1], [0, 8, 48, 22, 176, 78, 64, 50, 0, 2], [0, 8, 49, 14, 203, 28, 119, 14, 13, 0], [0, 8, 49, 15, 197, 43, 99, 29, 7, 1], [0, 8, 49, 16, 191, 58, 79, 44, 1, 2], [0, 8, 50, 8, 218, 8, 134, 8, 14, 0], [0, 8, 50, 9, 212, 23, 114, 23, 8, 1], [0, 8, 50, 10, 206, 38, 94, 38, 2, 2], [0, 8, 51, 3, 227, 3, 129, 17, 9, 1], [0, 8, 51, 4, 221, 18, 109, 32, 3, 2], [0, 9, 36, 71, 78, 183, 8, 57, 6, 0], [0, 9, 37, 65, 93, 163, 23, 51, 7, 0], [0, 9, 37, 66, 87, 178, 3, 66, 1, 1], [0, 9, 38, 59, 108, 143, 38, 45, 8, 0], [0, 9, 38, 60, 102, 158, 18, 60, 2, 1], [0, 9, 39, 53, 123, 123, 53, 39, 9, 0], [0, 9, 39, 54, 117, 138, 33, 54, 3, 1], [0, 9, 40, 47, 138, 103, 68, 33, 10, 0], [0, 9, 40, 48, 132, 118, 48, 48, 4, 1], [0, 9, 41, 41, 153, 83, 83, 27, 11, 0], [0, 9, 41, 42, 147, 98, 63, 42, 5, 1], [0, 9, 42, 35, 168, 63, 98, 21, 12, 0], [0, 9, 42, 36, 162, 78, 78, 36, 6, 1], [0, 9, 42, 37, 156, 93, 58, 51, 0, 2], [0, 9, 43, 29, 183, 43, 113, 15, 13, 0], [0, 9, 43, 30, 177, 58, 93, 30, 7, 1], [0, 9, 43, 31, 171, 73, 73, 45, 1, 2], [0, 9, 44, 23, 198, 23, 128, 9, 14, 0], [0, 9, 44, 24, 192, 38, 108, 24, 8, 1], [0, 9, 44, 25, 186, 53, 88, 39, 2, 2], [0, 9, 45, 17, 213, 3, 143, 3, 15, 0], [0, 9, 45, 18, 207, 18, 123, 18, 9, 1], [0, 9, 45, 19, 201, 33, 103, 33, 3, 2], [0, 9, 46, 13, 216, 13, 118, 27, 4, 2], [0, 10, 30, 86, 58, 198, 2, 58, 6, 0], [0, 10, 31, 80, 73, 178, 17, 52, 7, 0], [0, 10, 32, 74, 88, 158, 32, 46, 8, 0], [0, 10, 32, 75, 82, 173, 12, 61, 2, 1], [0, 10, 33, 68, 103, 138, 47, 40, 9, 0], [0, 10, 33, 69, 97, 153, 27, 55, 3, 1], [0, 10, 34, 62, 118, 118, 62, 34, 10, 0], [0, 10, 34, 63, 112, 133, 42, 49, 4, 1], [0, 10, 35, 56, 133, 98, 77, 28, 11, 0], [0, 10, 35, 57, 127, 113, 57, 43, 5, 1], [0, 10, 36, 50, 148, 78, 92, 22, 12, 0], [0, 10, 36, 51, 142, 93, 72, 37, 6, 1], [0, 10, 36, 52, 136, 108, 52, 52, 0, 2], [0, 10, 37, 44, 163, 58, 107, 16, 13, 0], [0, 10, 37, 45, 157, 73, 87, 31, 7, 1], [0, 10, 37, 46, 151, 88, 67, 46, 1, 2], [0, 10, 38, 38, 178, 38, 122, 10, 14, 0], [0, 10, 38, 39, 172, 53, 102, 25, 8, 1], [0, 10, 38, 40, 166, 68, 82, 40, 2, 2], [0, 10, 39, 32, 193, 18, 137, 4, 15, 0], [0, 10, 39, 33, 187, 33, 117, 19, 9, 1], [0, 10, 39, 34, 181, 48, 97, 34, 3, 2], [0, 10, 40, 27, 202, 13, 132, 13, 10, 1], [0, 10, 40, 28, 196, 28, 112, 28, 4, 2], [0, 10, 41, 22, 211, 8, 127, 22, 5, 2], [0, 10, 42, 17, 220, 3, 122, 31, 0, 3], [0, 11, 25, 95, 53, 193, 11, 53, 7, 0], [0, 11, 26, 89, 68, 173, 26, 47, 8, 0], [0, 11, 26, 90, 62, 188, 6, 62, 2, 1], [0, 11, 27, 83, 83, 153, 41, 41, 9, 0], [0, 11, 27, 84, 77, 168, 21, 56, 3, 1], [0, 11, 28, 77, 98, 133, 56, 35, 10, 0], [0, 11, 28, 78, 92, 148, 36, 50, 4, 1], [0, 11, 29, 71, 113, 113, 71, 29, 11, 0], [0, 11, 29, 72, 107, 128, 51, 44, 5, 1], [0, 11, 30, 65, 128, 93, 86, 23, 12, 0], [0, 11, 30, 66, 122, 108, 66, 38, 6, 1], [0, 11, 30, 67, 116, 123, 46, 53, 0, 2], [0, 11, 31, 59, 143, 73, 101, 17, 13, 0], [0, 11, 31, 60, 137, 88, 81, 32, 7, 1], [0, 11, 31, 61, 131, 103, 61, 47, 1, 2], [0, 11, 32, 53, 158, 53, 116, 11, 14, 0], [0, 11, 32, 54, 152, 68, 96, 26, 8, 1], [0, 11, 32, 55, 146, 83, 76, 41, 2, 2], [0, 11, 33, 47, 173, 33, 131, 5, 15, 0], [0, 11, 33, 48, 167, 48, 111, 20, 9, 1], [0, 11, 33, 49, 161, 63, 91, 35, 3, 2], [0, 11, 34, 42, 182, 28, 126, 14, 10, 1], [0, 11, 34, 43, 176, 43, 106, 29, 4, 2], [0, 11, 35, 36, 197, 8, 141, 8, 11, 1], [0, 11, 35, 37, 191, 23, 121, 23, 5, 2], [0, 11, 36, 31, 206, 3, 136, 17, 6, 2], [0, 11, 36, 32, 200, 18, 116, 32, 0, 3], [0, 12, 19, 110, 33, 208, 5, 54, 7, 0], [0, 12, 20, 104, 48, 188, 20, 48, 8, 0], [0, 12, 20, 105, 42, 203, 0, 63, 2, 1], [0, 12, 21, 98, 63, 168, 35, 42, 9, 0], [0, 12, 21, 99, 57, 183, 15, 57, 3, 1], [0, 12, 22, 92, 78, 148, 50, 36, 10, 0], [0, 12, 22, 93, 72, 163, 30, 51, 4, 1], [0, 12, 23, 86, 93, 128, 65, 30, 11, 0], [0, 12, 23, 87, 87, 143, 45, 45, 5, 1], [0, 12, 24, 80, 108, 108, 80, 24, 12, 0], [0, 12, 24, 81, 102, 123, 60, 39, 6, 1], [0, 12, 24, 82, 96, 138, 40, 54, 0, 2], [0, 12, 25, 74, 123, 88, 95, 18, 13, 0], [0, 12, 25, 75, 117, 103, 75, 33, 7, 1], [0, 12, 25, 76, 111, 118, 55, 48, 1, 2], [0, 12, 26, 68, 138, 68, 110, 12, 14, 0], [0, 12, 26, 69, 132, 83, 90, 27, 8, 1], [0, 12, 26, 70, 126, 98, 70, 42, 2, 2], [0, 12, 27, 62, 153, 48, 125, 6, 15, 0], [0, 12, 27, 63, 147, 63, 105, 21, 9, 1], [0, 12, 27, 64, 141, 78, 85, 36, 3, 2], [0, 12, 28, 56, 168, 28, 140, 0, 16, 0], [0, 12, 28, 57, 162, 43, 120, 15, 10, 1], [0, 12, 28, 58, 156, 58, 100, 30, 4, 2], [0, 12, 29, 51, 177, 23, 135, 9, 11, 1], [0, 12, 29, 52, 171, 38, 115, 24, 5, 2], [0, 12, 30, 45, 192, 3, 150, 3, 12, 1], [0, 12, 30, 46, 186, 18, 130, 18, 6, 2], [0, 12, 30, 47, 180, 33, 110, 33, 0, 3], [0, 12, 31, 41, 195, 13, 125, 27, 1, 3], [0, 13, 14, 119, 28, 203, 14, 49, 8, 0], [0, 13, 15, 113, 43, 183, 29, 43, 9, 0], [0, 13, 15, 114, 37, 198, 9, 58, 3, 1], [0, 13, 16, 107, 58, 163, 44, 37, 10, 0], [0, 13, 16, 108, 52, 178, 24, 52, 4, 1], [0, 13, 17, 101, 73, 143, 59, 31, 11, 0], [0, 13, 17, 102, 67, 158, 39, 46, 5, 1], [0, 13, 18, 95, 88, 123, 74, 25, 12, 0], [0, 13, 18, 96, 82, 138, 54, 40, 6, 1], [0, 13, 18, 97, 76, 153, 34, 55, 0, 2], [0, 13, 19, 89, 103, 103, 89, 19, 13, 0], [0, 13, 19, 90, 97, 118, 69, 34, 7, 1], [0, 13, 19, 91, 91, 133, 49, 49, 1, 2], [0, 13, 20, 83, 118, 83, 104, 13, 14, 0], [0, 13, 20, 84, 112, 98, 84, 28, 8, 1], [0, 13, 20, 85, 106, 113, 64, 43, 2, 2], [0, 13, 21, 77, 133, 63, 119, 7, 15, 0], [0, 13, 21, 78, 127, 78, 99, 22, 9, 1], [0, 13, 21, 79, 121, 93, 79, 37, 3, 2], [0, 13, 22, 71, 148, 43, 134, 1, 16, 0], [0, 13, 22, 72, 142, 58, 114, 16, 10, 1], [0, 13, 22, 73, 136, 73, 94, 31, 4, 2], [0, 13, 23, 66, 157, 38, 129, 10, 11, 1], [0, 13, 23, 67, 151, 53, 109, 25, 5, 2], [0, 13, 24, 60, 172, 18, 144, 4, 12, 1], [0, 13, 24, 61, 166, 33, 124, 19, 6, 2], [0, 13, 24, 62, 160, 48, 104, 34, 0, 3], [0, 13, 25, 55, 181, 13, 139, 13, 7, 2], [0, 13, 25, 56, 175, 28, 119, 28, 1, 3], [0, 13, 26, 50, 190, 8, 134, 22, 2, 3], [0, 14, 8, 134, 8, 218, 8, 50, 8, 0], [0, 14, 9, 128, 23, 198, 23, 44, 9, 0], [0, 14, 9, 129, 17, 213, 3, 59, 3, 1], [0, 14, 10, 122, 38, 178, 38, 38, 10, 0], [0, 14, 10, 123, 32, 193, 18, 53, 4, 1], [0, 14, 11, 116, 53, 158, 53, 32, 11, 0], [0, 14, 11, 117, 47, 173, 33, 47, 5, 1], [0, 14, 12, 110, 68, 138, 68, 26, 12, 0], [0, 14, 12, 111, 62, 153, 48, 41, 6, 1], [0, 14, 12, 112, 56, 168, 28, 56, 0, 2], [0, 14, 13, 104, 83, 118, 83, 20, 13, 0], [0, 14, 13, 105, 77, 133, 63, 35, 7, 1], [0, 14, 13, 106, 71, 148, 43, 50, 1, 2], [0, 14, 14, 98, 98, 98, 98, 14, 14, 0], [0, 14, 14, 99, 92, 113, 78, 29, 8, 1], [0, 14, 14, 100, 86, 128, 58, 44, 2, 2], [0, 14, 15, 92, 113, 78, 113, 8, 15, 0], [0, 14, 15, 93, 107, 93, 93, 23, 9, 1], [0, 14, 15, 94, 101, 108, 73, 38, 3, 2], [0, 14, 16, 86, 128, 58, 128, 2, 16, 0], [0, 14, 16, 87, 122, 73, 108, 17, 10, 1], [0, 14, 16, 88, 116, 88, 88, 32, 4, 2], [0, 14, 17, 81, 137, 53, 123, 11, 11, 1], [0, 14, 17, 82, 131, 68, 103, 26, 5, 2], [0, 14, 18, 75, 152, 33, 138, 5, 12, 1], [0, 14, 18, 76, 146, 48, 118, 20, 6, 2], [0, 14, 18, 77, 140, 63, 98, 35, 0, 3], [0, 14, 19, 70, 161, 28, 133, 14, 7, 2], [0, 14, 19, 71, 155, 43, 113, 29, 1, 3], [0, 14, 20, 64, 176, 8, 148, 8, 8, 2], [0, 14, 20, 65, 170, 23, 128, 23, 2, 3], [0, 14, 21, 59, 185, 3, 143, 17, 3, 3], [0, 15, 3, 143, 3, 213, 17, 45, 9, 0], [0, 15, 4, 137, 18, 193, 32, 39, 10, 0], [0, 15, 4, 138, 12, 208, 12, 54, 4, 1], [0, 15, 5, 131, 33, 173, 47, 33, 11, 0], [0, 15, 5, 132, 27, 188, 27, 48, 5, 1], [0, 15, 6, 125, 48, 153, 62, 27, 12, 0], [0, 15, 6, 126, 42, 168, 42, 42, 6, 1], [0, 15, 6, 127, 36, 183, 22, 57, 0, 2], [0, 15, 7, 119, 63, 133, 77, 21, 13, 0], [0, 15, 7, 120, 57, 148, 57, 36, 7, 1], [0, 15, 7, 121, 51, 163, 37, 51, 1, 2], [0, 15, 8, 113, 78, 113, 92, 15, 14, 0], [0, 15, 8, 114, 72, 128, 72, 30, 8, 1], [0, 15, 8, 115, 66, 143, 52, 45, 2, 2], [0, 15, 9, 107, 93, 93, 107, 9, 15, 0], [0, 15, 9, 108, 87, 108, 87, 24, 9, 1], [0, 15, 9, 109, 81, 123, 67, 39, 3, 2], [0, 15, 10, 101, 108, 73, 122, 3, 16, 0], [0, 15, 10, 102, 102, 88, 102, 18, 10, 1], [0, 15, 10, 103, 96, 103, 82, 33, 4, 2], [0, 15, 11, 96, 117, 68, 117, 12, 11, 1], [0, 15, 11, 97, 111, 83, 97, 27, 5, 2], [0, 15, 12, 90, 132, 48, 132, 6, 12, 1], [0, 15, 12, 91, 126, 63, 112, 21, 6, 2], [0, 15, 12, 92, 120, 78, 92, 36, 0, 3], [0, 15, 13, 84, 147, 28, 147, 0, 13, 1], [0, 15, 13, 85, 141, 43, 127, 15, 7, 2], [0, 15, 13, 86, 135, 58, 107, 30, 1, 3], [0, 15, 14, 79, 156, 23, 142, 9, 8, 2], [0, 15, 14, 80, 150, 38, 122, 24, 2, 3], [0, 15, 15, 73, 171, 3, 157, 3, 9, 2], [0, 15, 15, 74, 165, 18, 137, 18, 3, 3], [0, 16, 0, 140, 28, 168, 56, 28, 12, 0], [0, 16, 0, 141, 22, 183, 36, 43, 6, 1], [0, 16, 0, 142, 16, 198, 16, 58, 0, 2], [0, 16, 1, 134, 43, 148, 71, 22, 13, 0], [0, 16, 1, 135, 37, 163, 51, 37, 7, 1], [0, 16, 1, 136, 31, 178, 31, 52, 1, 2], [0, 16, 2, 128, 58, 128, 86, 16, 14, 0], [0, 16, 2, 129, 52, 143, 66, 31, 8, 1], [0, 16, 2, 130, 46, 158, 46, 46, 2, 2], [0, 16, 3, 122, 73, 108, 101, 10, 15, 0], [0, 16, 3, 123, 67, 123, 81, 25, 9, 1], [0, 16, 3, 124, 61, 138, 61, 40, 3, 2], [0, 16, 4, 116, 88, 88, 116, 4, 16, 0], [0, 16, 4, 117, 82, 103, 96, 19, 10, 1], [0, 16, 4, 118, 76, 118, 76, 34, 4, 2], [0, 16, 5, 111, 97, 83, 111, 13, 11, 1], [0, 16, 5, 112, 91, 98, 91, 28, 5, 2], [0, 16, 6, 105, 112, 63, 126, 7, 12, 1], [0, 16, 6, 106, 106, 78, 106, 22, 6, 2], [0, 16, 6, 107, 100, 93, 86, 37, 0, 3], [0, 16, 7, 99, 127, 43, 141, 1, 13, 1], [0, 16, 7, 100, 121, 58, 121, 16, 7, 2], [0, 16, 7, 101, 115, 73, 101, 31, 1, 3], [0, 16, 8, 94, 136, 38, 136, 10, 8, 2], [0, 16, 8, 95, 130, 53, 116, 25, 2, 3], [0, 16, 9, 88, 151, 18, 151, 4, 9, 2], [0, 16, 9, 89, 145, 33, 131, 19, 3, 3], [0, 16, 10, 83, 160, 13, 146, 13, 4, 3], [0, 17, 0, 120, 92, 78, 120, 8, 12, 1], [0, 17, 0, 121, 86, 93, 100, 23, 6, 2], [0, 17, 0, 122, 80, 108, 80, 38, 0, 3], [0, 17, 1, 114, 107, 58, 135, 2, 13, 1], [0, 17, 1, 115, 101, 73, 115, 17, 7, 2], [0, 17, 1, 116, 95, 88, 95, 32, 1, 3], [0, 17, 2, 109, 116, 53, 130, 11, 8, 2], [0, 17, 2, 110, 110, 68, 110, 26, 2, 3], [0, 17, 3, 103, 131, 33, 145, 5, 9, 2], [0, 17, 3, 104, 125, 48, 125, 20, 3, 3], [0, 17, 4, 98, 140, 28, 140, 14, 4, 3], [0, 17, 5, 92, 155, 8, 155, 8, 5, 3], [0, 17, 6, 87, 164, 3, 150, 17, 0, 4], [0, 18, 0, 101, 150, 3, 164, 3, 6, 3], [0, 18, 0, 102, 144, 18, 144, 18, 0, 4]}
(10, 448, 5) has 1613 possible DDs: {[0, 0, 38, 52, 10, 248, 10, 52, 38, 0, 0], [0, 0, 39, 46, 25, 228, 25, 46, 39, 0, 0], [0, 0, 39, 47, 19, 243, 5, 61, 33, 1, 0], [0, 0, 40, 40, 40, 208, 40, 40, 40, 0, 0], [0, 0, 40, 41, 34, 223, 20, 55, 34, 1, 0], [0, 0, 40, 42, 28, 238, 0, 70, 28, 2, 0], [0, 0, 41, 34, 55, 188, 55, 34, 41, 0, 0], [0, 0, 41, 35, 49, 203, 35, 49, 35, 1, 0], [0, 0, 41, 36, 43, 218, 15, 64, 29, 2, 0], [0, 0, 42, 28, 70, 168, 70, 28, 42, 0, 0], [0, 0, 42, 29, 64, 183, 50, 43, 36, 1, 0], [0, 0, 42, 30, 58, 198, 30, 58, 30, 2, 0], [0, 0, 42, 31, 52, 213, 10, 73, 24, 3, 0], [0, 0, 43, 22, 85, 148, 85, 22, 43, 0, 0], [0, 0, 43, 23, 79, 163, 65, 37, 37, 1, 0], [0, 0, 43, 24, 73, 178, 45, 52, 31, 2, 0], [0, 0, 43, 25, 67, 193, 25, 67, 25, 3, 0], [0, 0, 43, 26, 61, 208, 5, 82, 19, 4, 0], [0, 0, 44, 16, 100, 128, 100, 16, 44, 0, 0], [0, 0, 44, 17, 94, 143, 80, 31, 38, 1, 0], [0, 0, 44, 18, 88, 158, 60, 46, 32, 2, 0], [0, 0, 44, 19, 82, 173, 40, 61, 26, 3, 0], [0, 0, 44, 20, 76, 188, 20, 76, 20, 4, 0], [0, 0, 44, 21, 70, 203, 0, 91, 14, 5, 0], [0, 0, 45, 10, 115, 108, 115, 10, 45, 0, 0], [0, 0, 45, 11, 109, 123, 95, 25, 39, 1, 0], [0, 0, 45, 12, 103, 138, 75, 40, 33, 2, 0], [0, 0, 45, 13, 97, 153, 55, 55, 27, 3, 0], [0, 0, 45, 14, 91, 168, 35, 70, 21, 4, 0], [0, 0, 45, 15, 85, 183, 15, 85, 15, 5, 0], [0, 0, 45, 16, 80, 192, 10, 80, 24, 0, 1], [0, 0, 46, 4, 130, 88, 130, 4, 46, 0, 0], [0, 0, 46, 5, 124, 103, 110, 19, 40, 1, 0], [0, 0, 46, 6, 118, 118, 90, 34, 34, 2, 0], [0, 0, 46, 7, 112, 133, 70, 49, 28, 3, 0], [0, 0, 46, 8, 106, 148, 50, 64, 22, 4, 0], [0, 0, 46, 9, 100, 163, 30, 79, 16, 5, 0], [0, 0, 46, 10, 94, 178, 10, 94, 10, 6, 0], [0, 0, 46, 10, 95, 172, 25, 74, 25, 0, 1], [0, 0, 46, 11, 89, 187, 5, 89, 19, 1, 1], [0, 0, 47, 0, 133, 98, 105, 28, 35, 2, 0], [0, 0, 47, 1, 127, 113, 85, 43, 29, 3, 0], [0, 0, 47, 2, 121, 128, 65, 58, 23, 4, 0], [0, 0, 47, 3, 115, 143, 45, 73, 17, 5, 0], [0, 0, 47, 4, 109, 158, 25, 88, 11, 6, 0], [0, 0, 47, 4, 110, 152, 40, 68, 26, 0, 1], [0, 0, 47, 5, 103, 173, 5, 103, 5, 7, 0], [0, 0, 47, 5, 104, 167, 20, 83, 20, 1, 1], [0, 0, 47, 6, 98, 182, 0, 98, 14, 2, 1], [0, 0, 48, 0, 112, 168, 0, 112, 0, 8, 0], [0, 0, 48, 0, 113, 162, 15, 92, 15, 2, 1], [0, 1, 33, 61, 5, 243, 19, 47, 39, 0, 0], [0, 1, 34, 55, 20, 223, 34, 41, 40, 0, 0], [0, 1, 34, 56, 14, 238, 14, 56, 34, 1, 0], [0, 1, 35, 49, 35, 203, 49, 35, 41, 0, 0], [0, 1, 35, 50, 29, 218, 29, 50, 35, 1, 0], [0, 1, 35, 51, 23, 233, 9, 65, 29, 2, 0], [0, 1, 36, 43, 50, 183, 64, 29, 42, 0, 0], [0, 1, 36, 44, 44, 198, 44, 44, 36, 1, 0], [0, 1, 36, 45, 38, 213, 24, 59, 30, 2, 0], [0, 1, 36, 46, 32, 228, 4, 74, 24, 3, 0], [0, 1, 37, 37, 65, 163, 79, 23, 43, 0, 0], [0, 1, 37, 38, 59, 178, 59, 38, 37, 1, 0], [0, 1, 37, 39, 53, 193, 39, 53, 31, 2, 0], [0, 1, 37, 40, 47, 208, 19, 68, 25, 3, 0], [0, 1, 38, 31, 80, 143, 94, 17, 44, 0, 0], [0, 1, 38, 32, 74, 158, 74, 32, 38, 1, 0], [0, 1, 38, 33, 68, 173, 54, 47, 32, 2, 0], [0, 1, 38, 34, 62, 188, 34, 62, 26, 3, 0], [0, 1, 38, 35, 56, 203, 14, 77, 20, 4, 0], [0, 1, 39, 25, 95, 123, 109, 11, 45, 0, 0], [0, 1, 39, 26, 89, 138, 89, 26, 39, 1, 0], [0, 1, 39, 27, 83, 153, 69, 41, 33, 2, 0], [0, 1, 39, 28, 77, 168, 49, 56, 27, 3, 0], [0, 1, 39, 29, 71, 183, 29, 71, 21, 4, 0], [0, 1, 39, 30, 65, 198, 9, 86, 15, 5, 0], [0, 1, 39, 31, 60, 207, 4, 81, 24, 0, 1], [0, 1, 40, 19, 110, 103, 124, 5, 46, 0, 0], [0, 1, 40, 20, 104, 118, 104, 20, 40, 1, 0], [0, 1, 40, 21, 98, 133, 84, 35, 34, 2, 0], [0, 1, 40, 22, 92, 148, 64, 50, 28, 3, 0], [0, 1, 40, 23, 86, 163, 44, 65, 22, 4, 0], [0, 1, 40, 24, 80, 178, 24, 80, 16, 5, 0], [0, 1, 40, 25, 74, 193, 4, 95, 10, 6, 0], [0, 1, 40, 25, 75, 187, 19, 75, 25, 0, 1], [0, 1, 41, 14, 119, 98, 119, 14, 41, 1, 0], [0, 1, 41, 15, 113, 113, 99, 29, 35, 2, 0], [0, 1, 41, 16, 107, 128, 79, 44, 29, 3, 0], [0, 1, 41, 17, 101, 143, 59, 59, 23, 4, 0], [0, 1, 41, 18, 95, 158, 39, 74, 17, 5, 0], [0, 1, 41, 19, 89, 173, 19, 89, 11, 6, 0], [0, 1, 41, 19, 90, 167, 34, 69, 26, 0, 1], [0, 1, 41, 20, 84, 182, 14, 84, 20, 1, 1], [0, 1, 42, 8, 134, 78, 134, 8, 42, 1, 0], [0, 1, 42, 9, 128, 93, 114, 23, 36, 2, 0], [0, 1, 42, 10, 122, 108, 94, 38, 30, 3, 0], [0, 1, 42, 11, 116, 123, 74, 53, 24, 4, 0], [0, 1, 42, 12, 110, 138, 54, 68, 18, 5, 0], [0, 1, 42, 13, 104, 153, 34, 83, 12, 6, 0], [0, 1, 42, 13, 105, 147, 49, 63, 27, 0, 1], [0, 1, 42, 14, 98, 168, 14, 98, 6, 7, 0], [0, 1, 42, 14, 99, 162, 29, 78, 21, 1, 1], [0, 1, 42, 15, 93, 177, 9, 93, 15, 2, 1], [0, 1, 43, 2, 149, 58, 149, 2, 43, 1, 0], [0, 1, 43, 3, 143, 73, 129, 17, 37, 2, 0], [0, 1, 43, 4, 137, 88, 109, 32, 31, 3, 0], [0, 1, 43, 5, 131, 103, 89, 47, 25, 4, 0], [0, 1, 43, 6, 125, 118, 69, 62, 19, 5, 0], [0, 1, 43, 7, 119, 133, 49, 77, 13, 6, 0], [0, 1, 43, 7, 120, 127, 64, 57, 28, 0, 1], [0, 1, 43, 8, 113, 148, 29, 92, 7, 7, 0], [0, 1, 43, 8, 114, 142, 44, 72, 22, 1, 1], [0, 1, 43, 9, 107, 163, 9, 107, 1, 8, 0], [0, 1, 43, 9, 108, 157, 24, 87, 16, 2, 1], [0, 1, 43, 10, 102, 172, 4, 102, 10, 3, 1], [0, 1, 44, 0, 140, 98, 84, 56, 20, 5, 0], [0, 1, 44, 1, 134, 113, 64, 71, 14, 6, 0], [0, 1, 44, 1, 135, 107, 79, 51, 29, 0, 1], [0, 1, 44, 2, 128, 128, 44, 86, 8, 7, 0], [0, 1, 44, 2, 129, 122, 59, 66, 23, 1, 1], [0, 1, 44, 3, 122, 143, 24, 101, 2, 8, 0], [0, 1, 44, 3, 123, 137, 39, 81, 17, 2, 1], [0, 1, 44, 4, 117, 152, 19, 96, 11, 3, 1], [0, 2, 28, 70, 0, 238, 28, 42, 40, 0, 0], [0, 2, 29, 64, 15, 218, 43, 36, 41, 0, 0], [0, 2, 29, 65, 9, 233, 23, 51, 35, 1, 0], [0, 2, 29, 66, 3, 248, 3, 66, 29, 2, 0], [0, 2, 30, 58, 30, 198, 58, 30, 42, 0, 0], [0, 2, 30, 59, 24, 213, 38, 45, 36, 1, 0], [0, 2, 30, 60, 18, 228, 18, 60, 30, 2, 0], [0, 2, 31, 52, 45, 178, 73, 24, 43, 0, 0], [0, 2, 31, 53, 39, 193, 53, 39, 37, 1, 0], [0, 2, 31, 54, 33, 208, 33, 54, 31, 2, 0], [0, 2, 31, 55, 27, 223, 13, 69, 25, 3, 0], [0, 2, 32, 46, 60, 158, 88, 18, 44, 0, 0], [0, 2, 32, 47, 54, 173, 68, 33, 38, 1, 0], [0, 2, 32, 48, 48, 188, 48, 48, 32, 2, 0], [0, 2, 32, 49, 42, 203, 28, 63, 26, 3, 0], [0, 2, 32, 50, 36, 218, 8, 78, 20, 4, 0], [0, 2, 33, 40, 75, 138, 103, 12, 45, 0, 0], [0, 2, 33, 41, 69, 153, 83, 27, 39, 1, 0], [0, 2, 33, 42, 63, 168, 63, 42, 33, 2, 0], [0, 2, 33, 43, 57, 183, 43, 57, 27, 3, 0], [0, 2, 33, 44, 51, 198, 23, 72, 21, 4, 0], [0, 2, 33, 45, 45, 213, 3, 87, 15, 5, 0], [0, 2, 34, 34, 90, 118, 118, 6, 46, 0, 0], [0, 2, 34, 35, 84, 133, 98, 21, 40, 1, 0], [0, 2, 34, 36, 78, 148, 78, 36, 34, 2, 0], [0, 2, 34, 37, 72, 163, 58, 51, 28, 3, 0], [0, 2, 34, 38, 66, 178, 38, 66, 22, 4, 0], [0, 2, 34, 39, 60, 193, 18, 81, 16, 5, 0], [0, 2, 34, 40, 55, 202, 13, 76, 25, 0, 1], [0, 2, 35, 28, 105, 98, 133, 0, 47, 0, 0], [0, 2, 35, 29, 99, 113, 113, 15, 41, 1, 0], [0, 2, 35, 30, 93, 128, 93, 30, 35, 2, 0], [0, 2, 35, 31, 87, 143, 73, 45, 29, 3, 0], [0, 2, 35, 32, 81, 158, 53, 60, 23, 4, 0], [0, 2, 35, 33, 75, 173, 33, 75, 17, 5, 0], [0, 2, 35, 34, 69, 188, 13, 90, 11, 6, 0], [0, 2, 35, 34, 70, 182, 28, 70, 26, 0, 1], [0, 2, 35, 35, 64, 197, 8, 85, 20, 1, 1], [0, 2, 36, 23, 114, 93, 128, 9, 42, 1, 0], [0, 2, 36, 24, 108, 108, 108, 24, 36, 2, 0], [0, 2, 36, 25, 102, 123, 88, 39, 30, 3, 0], [0, 2, 36, 26, 96, 138, 68, 54, 24, 4, 0], [0, 2, 36, 27, 90, 153, 48, 69, 18, 5, 0], [0, 2, 36, 28, 84, 168, 28, 84, 12, 6, 0], [0, 2, 36, 28, 85, 162, 43, 64, 27, 0, 1], [0, 2, 36, 29, 78, 183, 8, 99, 6, 7, 0], [0, 2, 36, 29, 79, 177, 23, 79, 21, 1, 1], [0, 2, 36, 30, 73, 192, 3, 94, 15, 2, 1], [0, 2, 37, 17, 129, 73, 143, 3, 43, 1, 0], [0, 2, 37, 18, 123, 88, 123, 18, 37, 2, 0], [0, 2, 37, 19, 117, 103, 103, 33, 31, 3, 0], [0, 2, 37, 20, 111, 118, 83, 48, 25, 4, 0], [0, 2, 37, 21, 105, 133, 63, 63, 19, 5, 0], [0, 2, 37, 22, 99, 148, 43, 78, 13, 6, 0], [0, 2, 37, 22, 100, 142, 58, 58, 28, 0, 1], [0, 2, 37, 23, 93, 163, 23, 93, 7, 7, 0], [0, 2, 37, 23, 94, 157, 38, 73, 22, 1, 1], [0, 2, 37, 24, 87, 178, 3, 108, 1, 8, 0], [0, 2, 37, 24, 88, 172, 18, 88, 16, 2, 1], [0, 2, 38, 12, 138, 68, 138, 12, 38, 2, 0], [0, 2, 38, 13, 132, 83, 118, 27, 32, 3, 0], [0, 2, 38, 14, 126, 98, 98, 42, 26, 4, 0], [0, 2, 38, 15, 120, 113, 78, 57, 20, 5, 0], [0, 2, 38, 16, 114, 128, 58, 72, 14, 6, 0], [0, 2, 38, 16, 115, 122, 73, 52, 29, 0, 1], [0, 2, 38, 17, 108, 143, 38, 87, 8, 7, 0], [0, 2, 38, 17, 109, 137, 53, 67, 23, 1, 1], [0, 2, 38, 18, 102, 158, 18, 102, 2, 8, 0], [0, 2, 38, 18, 103, 152, 33, 82, 17, 2, 1], [0, 2, 38, 19, 97, 167, 13, 97, 11, 3, 1], [0, 2, 39, 6, 153, 48, 153, 6, 39, 2, 0], [0, 2, 39, 7, 147, 63, 133, 21, 33, 3, 0], [0, 2, 39, 8, 141, 78, 113, 36, 27, 4, 0], [0, 2, 39, 9, 135, 93, 93, 51, 21, 5, 0], [0, 2, 39, 10, 129, 108, 73, 66, 15, 6, 0], [0, 2, 39, 10, 130, 102, 88, 46, 30, 0, 1], [0, 2, 39, 11, 123, 123, 53, 81, 9, 7, 0], [0, 2, 39, 11, 124, 117, 68, 61, 24, 1, 1], [0, 2, 39, 12, 117, 138, 33, 96, 3, 8, 0], [0, 2, 39, 12, 118, 132, 48, 76, 18, 2, 1], [0, 2, 39, 13, 112, 147, 28, 91, 12, 3, 1], [0, 2, 39, 14, 106, 162, 8, 106, 6, 4, 1], [0, 2, 40, 0, 168, 28, 168, 0, 40, 2, 0], [0, 2, 40, 1, 162, 43, 148, 15, 34, 3, 0], [0, 2, 40, 2, 156, 58, 128, 30, 28, 4, 0], [0, 2, 40, 3, 150, 73, 108, 45, 22, 5, 0], [0, 2, 40, 4, 144, 88, 88, 60, 16, 6, 0], [0, 2, 40, 4, 145, 82, 103, 40, 31, 0, 1], [0, 2, 40, 5, 138, 103, 68, 75, 10, 7, 0], [0, 2, 40, 5, 139, 97, 83, 55, 25, 1, 1], [0, 2, 40, 6, 132, 118, 48, 90, 4, 8, 0], [0, 2, 40, 6, 133, 112, 63, 70, 19, 2, 1], [0, 2, 40, 7, 127, 127, 43, 85, 13, 3, 1], [0, 2, 40, 8, 121, 142, 23, 100, 7, 4, 1], [0, 2, 40, 9, 115, 157, 3, 115, 1, 5, 1], [0, 2, 41, 0, 147, 98, 63, 84, 5, 8, 0], [0, 2, 41, 0, 148, 92, 78, 64, 20, 2, 1], [0, 2, 41, 1, 142, 107, 58, 79, 14, 3, 1], [0, 2, 41, 2, 136, 122, 38, 94, 8, 4, 1], [0, 2, 41, 3, 130, 137, 18, 109, 2, 5, 1], [0, 2, 41, 4, 125, 146, 13, 104, 11, 0, 2], [0, 3, 24, 73, 10, 213, 52, 31, 42, 0, 0], [0, 3, 24, 74, 4, 228, 32, 46, 36, 1, 0], [0, 3, 25, 67, 25, 193, 67, 25, 43, 0, 0], [0, 3, 25, 68, 19, 208, 47, 40, 37, 1, 0], [0, 3, 25, 69, 13, 223, 27, 55, 31, 2, 0], [0, 3, 25, 70, 7, 238, 7, 70, 25, 3, 0], [0, 3, 26, 61, 40, 173, 82, 19, 44, 0, 0], [0, 3, 26, 62, 34, 188, 62, 34, 38, 1, 0], [0, 3, 26, 63, 28, 203, 42, 49, 32, 2, 0], [0, 3, 26, 64, 22, 218, 22, 64, 26, 3, 0], [0, 3, 26, 65, 16, 233, 2, 79, 20, 4, 0], [0, 3, 27, 55, 55, 153, 97, 13, 45, 0, 0], [0, 3, 27, 56, 49, 168, 77, 28, 39, 1, 0], [0, 3, 27, 57, 43, 183, 57, 43, 33, 2, 0], [0, 3, 27, 58, 37, 198, 37, 58, 27, 3, 0], [0, 3, 27, 59, 31, 213, 17, 73, 21, 4, 0], [0, 3, 28, 49, 70, 133, 112, 7, 46, 0, 0], [0, 3, 28, 50, 64, 148, 92, 22, 40, 1, 0], [0, 3, 28, 51, 58, 163, 72, 37, 34, 2, 0], [0, 3, 28, 52, 52, 178, 52, 52, 28, 3, 0], [0, 3, 28, 53, 46, 193, 32, 67, 22, 4, 0], [0, 3, 28, 54, 40, 208, 12, 82, 16, 5, 0], [0, 3, 28, 55, 35, 217, 7, 77, 25, 0, 1], [0, 3, 29, 43, 85, 113, 127, 1, 47, 0, 0], [0, 3, 29, 44, 79, 128, 107, 16, 41, 1, 0], [0, 3, 29, 45, 73, 143, 87, 31, 35, 2, 0], [0, 3, 29, 46, 67, 158, 67, 46, 29, 3, 0], [0, 3, 29, 47, 61, 173, 47, 61, 23, 4, 0], [0, 3, 29, 48, 55, 188, 27, 76, 17, 5, 0], [0, 3, 29, 49, 49, 203, 7, 91, 11, 6, 0], [0, 3, 29, 49, 50, 197, 22, 71, 26, 0, 1], [0, 3, 29, 50, 44, 212, 2, 86, 20, 1, 1], [0, 3, 30, 38, 94, 108, 122, 10, 42, 1, 0], [0, 3, 30, 39, 88, 123, 102, 25, 36, 2, 0], [0, 3, 30, 40, 82, 138, 82, 40, 30, 3, 0], [0, 3, 30, 41, 76, 153, 62, 55, 24, 4, 0], [0, 3, 30, 42, 70, 168, 42, 70, 18, 5, 0], [0, 3, 30, 43, 64, 183, 22, 85, 12, 6, 0], [0, 3, 30, 43, 65, 177, 37, 65, 27, 0, 1], [0, 3, 30, 44, 58, 198, 2, 100, 6, 7, 0], [0, 3, 30, 44, 59, 192, 17, 80, 21, 1, 1], [0, 3, 31, 32, 109, 88, 137, 4, 43, 1, 0], [0, 3, 31, 33, 103, 103, 117, 19, 37, 2, 0], [0, 3, 31, 34, 97, 118, 97, 34, 31, 3, 0], [0, 3, 31, 35, 91, 133, 77, 49, 25, 4, 0], [0, 3, 31, 36, 85, 148, 57, 64, 19, 5, 0], [0, 3, 31, 37, 79, 163, 37, 79, 13, 6, 0], [0, 3, 31, 37, 80, 157, 52, 59, 28, 0, 1], [0, 3, 31, 38, 73, 178, 17, 94, 7, 7, 0], [0, 3, 31, 38, 74, 172, 32, 74, 22, 1, 1], [0, 3, 31, 39, 68, 187, 12, 89, 16, 2, 1], [0, 3, 32, 27, 118, 83, 132, 13, 38, 2, 0], [0, 3, 32, 28, 112, 98, 112, 28, 32, 3, 0], [0, 3, 32, 29, 106, 113, 92, 43, 26, 4, 0], [0, 3, 32, 30, 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